To drink (usually by gulping or in a greedy or unrefined manner); to quaff. Example: That sailor can swig whisky with the best of 'em.
To suck.
To take up the last bit of slack in rigging by taking a single turn around a cleat, then hauling on the line above and below the cleat while keeping tension on the line.
All clues having "SWIGS"
for an answer:
You can find a list of possible crossword clues for SWIGS below.
Crossword Answers